What is the value of cos^2(pi/2)-sin^2(pi/2) ?

The value of cos^2(pi/2)-sin^2(pi/2) is -1

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cos^2(pi/2)-sin^2(pi/2)

cos^{2} (\frac{π}{2}) - sin^{2} (\frac{π}{2})

- 1

Solution steps

cos^{2} (\frac{π}{2}) - sin^{2} (\frac{π}{2})

Use the following trivial identity:

cos (\frac{π}{2}) = 0

Use the following trivial identity:

sin (\frac{π}{2}) = 1

= 0^{2} - 1^{2}

Simplify

= - 1

cos^{2} (\frac{7 π}{8}) - sin^{2} (\frac{7 π}{8})

sin (\frac{11 π}{20}) cos (\frac{π}{5}) + cos (\frac{11 π}{20}) sin (\frac{π}{5})

cot (arccos (- \frac{5}{6}))

arcsin (0.549)

tan (0.02)

What is the value of cos^2(pi/2)-sin^2(pi/2) ?
The value of cos^2(pi/2)-sin^2(pi/2) is -1